Question

sho that any positive odd number is of the form 6q+1, 6q+3 or 6q+5 where q is an integer​

Answer 1

Answer:

Step-by-step explanation:

Let a be any positive integer and b= 6

a = 6q + r --–--------1

Where 0<_ r < 6

Possible values of r = 0,1,2,3,4,5

When r = 0,

a =6 q

It is even

When r = 1,

a= 6q + 1

It is odd

When r = 2

a = 6q + 2

It is even

When r = 3

a = 6 q + 3

It is odd

When r = 4

a = 6 q +4

It is even

When r = 5

a = 6 q +5

It is odd

So, clearly odd integer is either of the form

1.6q+1

2.6q+3

3.6q+5